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求解一维非齐次分数阶扩散-波动方程的混合边值问题 被引量:3

Mixed boundary value problems for the one-dimensional non-homogeneous fractional diffusion-wave equation
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摘要 考虑一维分数阶扩散-波动方程的混合边值问题.利用分离变量方法导出了在混合边界条件下的非齐次分数阶扩散-波动方程的解析解. The mixed .boundary problems for the one - dimensional fractional diffusion - wave equation are considered. We derive the analytic solution of the non - homogeneous fractional diffusion - wave equation under the mixed boundary conditions using the method of separation of variables.
出处 《福州大学学报(自然科学版)》 CAS CSCD 北大核心 2007年第4期515-519,共5页 Journal of Fuzhou University(Natural Science Edition)
基金 国家自然科学基金资助项目(10271098)
关键词 分数阶扩散-波动方程 分离变量方法 非齐次问题 混合边界条件 解析解 fractional diffusion -wave equation separation variables method non - homoge-neousproblem mixed boundary conditions analytic solution
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  • 1Podlubny I.Fractional differential equations[M].San Diego:Academic Press,1999.
  • 2Agrawal O P.Solution for a fractional diffusion-wave equation defined in a bounded domain[J].Nonlinear Dynamics,2002,29:145-155.
  • 3Nigmatullin R R.Realization of the generalized transfer equation in a medium with fractal geometry[J].Physica B,1986,133:425-430.
  • 4Ginoa M,Roman H E.Fractional diffusion equation for transport phenomena in random media[J].Physica A,1992,185:82-97.
  • 5Metzler V,Klafer J.Boundary value problems for fractional diffusion equations[J].Physica A,2000,278:107-125.
  • 6Ginoa M,Cerbelli S,Roman H E.Fractional diffusion equation and relaxation in complex viscoelastic materials[J].Physica A,1992,191:449 -453.
  • 7Zeng Q,Li H.Diffusion equation for disordered fractal media[J].Fractals,2000,8(1):117-121.
  • 8Al-Khaled K,Momani S.An approximate solution for a fractional diffusion -wave equation using the decomposition method[J].Applied Mathematics and Computation,2005,165 (2):473-483.
  • 9Daftardar-Gejji V,Jafari H.Boundary value problems for fractional diffusion-wave equation[J].Australian Journal of Mathematical Analysis and Application,2006,3 (1):51-58.
  • 10严镇军.数学物理方程[M].合肥:中国科技大学出版社,2002:282-300.

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